414201115020 has 288 divisors, whose sum is σ = 1507660148736. Its totient is φ = 83968281600.

The previous prime is 414201114953. The next prime is 414201115033. The reversal of 414201115020 is 20511102414.

It is a super-2 number, since 2×414201115020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1169749 + ... + 1482131.

It is an arithmetic number, because the mean of its divisors is an integer number (5234931072).

Almost surely, 2^414201115020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414201115020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753830074368).

414201115020 is an abundant number, since it is smaller than the sum of its proper divisors (1093459033716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414201115020 is a wasteful number, since it uses less digits than its factorization.

414201115020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312461 (or 312452 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 414201115020 its reverse (20511102414), we get a palindrome (434712217434).

The spelling of 414201115020 in words is "four hundred fourteen billion, two hundred one million, one hundred fifteen thousand, twenty".